Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Product Rule
Rational Functions
Formulas
Product Rule: (fg)' = f'g + fg'
Derivative of u(x) = x^3: u'(x) = 3x^2
Derivative of v(x) = 1 - 4/(x+7): v'(x) = 4/(x+7)^2
Theorems
Product Rule
Derivative of Rational Functions
Suitable Grade Level
College-level Calculus